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104632620 = 223517195399
BaseRepresentation
bin1100011110010…
…01000100101100
321021212212222020
412033021010230
5203241220440
614214350140
72410235241
oct617110454
9237785866
10104632620
1154076044
122b05b350
13188a62c1
14dc795c8
1592bc3d0
hex63c912c

104632620 has 96 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 24873984.

The previous prime is 104632607. The next prime is 104632663. The reversal of 104632620 is 26236401.

104632620 = 36132 + 36142 + ... + 36202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16681 + ... + 22079.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2104632620 is an apocalyptic number.

104632620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104632620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

104632620 is an abundant number, since it is smaller than the sum of its proper divisors (221959380).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104632620 is a wasteful number, since it uses less digits than its factorization.

104632620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5447 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 104632620 is about 10229.0087496297. The cubic root of 104632620 is about 471.2185371607.

The spelling of 104632620 in words is "one hundred four million, six hundred thirty-two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 5399 6460 9690 10798 16197 19380 21596 26995 32394 53990 64788 80985 91783 102581 107980 161970 183566 205162 275349 307743 323940 367132 410324 458915 512905 550698 615486 917830 1025810 1101396 1230972 1376745 1538715 1743877 1835660 2051620 2753490 3077430 3487754 5231631 5506980 6154860 6975508 8719385 10463262 17438770 20926524 26158155 34877540 52316310 104632620